Global Aspects of Complex Geometry

ISBN-13: 9783540354796 / Angielski / Twarda / 2006 / 506 str.

Fabrizio Catanese; Alan T. Huckleberry; Klaus Hulek

Opis

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kahler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry"

Spis treści

Ingrid C. Bauer and Fabrizio Catanese and Roberto Pignatelli: Complex surfaces of general type: some recent progress Manuel Blickle, Hélène Esnault, Kay Rülling: Characteristic 0 and $p$ analogies, and some motivic cohomology L. Bodnarchuk, I.Burban, Y. Drozd, G.M. Greuel: Vector bundles and torsion free sheaves on degenerations of elliptic curves. W. Ebeling and S.M. Gusein-Zade: Indices of vector fields and 1-forms on singular varieties Gert-Martin Greuel and Christoph Lossen and Eugenii Shustin: Equisingular Families of Projective Curves Peter Heinzner and Henrik Stötzel: Critical points of the square of the momentum map Alan Huckleberry: Actions on flag manifolds: related cycle spaces Klaus Hulek and Remke Kloosterman and Matthias Schütt: Modularity of Calabi-Yau varieties Priska Jahnke and Thomas Peternell and Ivo Radloff: Some recent developments in the classification theory of higher dimensional manifolds S.Kebekus, L.Sola Conde: Existence of rational curves on algebraic varieties, minimal rational tangents, and applications. Martin Möller and Eckart Viehweg: Special families of curves, of Abelian varieties and of certain minimal manifolds over curves Stefan J. Müller-Stach: Hodge theory and Algebraic cycles Georg Schumacher: Kähler Geometry of Moduli Spaces

Blurb

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry.

Written by established experts this book is a must for mathematicians working in Complex Geometry.